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Given a number N. Find the minimum number of squares of any number that sums to N. For Example: If N = 100 , N can be expressed as (10*10) and also as (5*5 + 5*5 + 5*5 + 5*5) but the output will be 1 as minimum number of square is 1 , i.e (10*10).
Example 1:
Input: N = 100
Output: 1
Explanation: 10 * 10 = 100
Example 2:
Input: N = 6
Output: 3
Explanation = 1 * 1 + 1 * 1 + 2 * 2 = 6
Your Task:
You don't need to read or print anyhting. Your task is to complete the function MinSquares() which takes N as input parameter and returns minimum number of squares needed to make N.
Expcted Time Complexity: O(N * sqrt(N) )
Expected Space Complexity: O(N)
Constraints:
1 <= N <= 10000
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